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Finding the Fourth Proportional to 268,907.21, 403,364.06 and 81,920.33

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Solution

The fourth proportional to 268,907.21, 403,364.06 and 81,920.33 is: 122,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,907.21 : 403,364.06 = 81,920.33 : x
  2. Step 2: Convert to fraction form
    268,907.21/403,364.06 = 81,920.33/x
  3. Step 3: Cross multiply
    268,907.21x = 403,364.06 × 81,920.33
  4. Step 4: Simplify right side
    268,907.21x = 33,043,716,495.74
  5. Step 5: Solve for x
    x = 33,043,716,495.74/268,907.21
  6. Step 6: Final answer
    x = 122,881.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.